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    The first term and last term of an AP are 33 and -57 respectively. If there are 16 terms in the series, then what will be sum?
    Question

    The first term and last term of an AP are 33 and -57 respectively. If there are 16 terms in the series, then what will be sum?

    A.

    -135

    B.

    -192

    C.

    -207

    D.

    -165

    Correct option is B

    ​Given:

    First term a = 33

    Last term l = -57

    Number of terms n = 16

    Formula Used:

    Sn=n2(a+l)S_n = \frac{n}{2} (a + l)​​

    Solution:

    S16=162(33+(57))=8×(24)=192S_{16} = \frac{16}{2} (33 + (-57)) = 8 \times (-24) = -192​​

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